MATH 19:
Calculus
Terms: Aut, Win, Sum
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
Instructors: ;
Alvarez-Gavela, D. (PI);
Fayyazuddin Ljungberg, B. (PI);
Kimport, S. (PI);
Madnick, J. (PI);
Pollack, A. (PI);
Zhang, S. (PI);
Arana Herrera, F. (TA);
Dore, D. (TA);
He, X. (TA);
Li, C. (TA);
Sherman, D. (TA);
Zavyalov, B. (TA);
Zhou, Z. (TA)
MATH 20:
Calculus
Terms: Aut, Win, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 21:
Calculus
Terms: Aut, Win, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR
MATH 41:
Calculus (Accelerated)
Terms: Aut
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 41A:
Calculus ACE
Terms: Aut
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
MATH 42:
Calculus (Accelerated)
Terms: Win
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 42A:
Calculus ACE
Terms: Win
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
MATH 51:
Linear Algebra and Differential Calculus of Several Variables
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 51A:
Linear Algebra and Differential Calculus of Several Variables, ACE
Terms: Aut, Win, Spr
| Units: 6
| UG Reqs: GER:DB-Math, WAY-FR
MATH 52:
Integral Calculus of Several Variables
Terms: Aut, Win, Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 53:
Ordinary Differential Equations with Linear Algebra
Terms: Aut, Win, Spr, Sum
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 61CM:
Modern Mathematics: Continuous Methods
Terms: Aut
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 61DM:
Modern Mathematics: Discrete Methods
Terms: Aut
| Units: 5
| UG Reqs: WAY-FR
MATH 62CM:
Modern Mathematics: Continuous Methods
Terms: Win
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 62DM:
Modern Mathematics: Discrete Methods
Terms: Win
| Units: 5
MATH 63CM:
Modern Mathematics: Continuous Methods
Terms: Spr
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR
MATH 63DM:
Modern Mathematics: Discrete Methods
Terms: Spr
| Units: 5
MATH 70SI:
The Game of Go: Strategy, Theory, and History
Last offered: Autumn 2014
| Units: 1
MATH 80Q:
Capillary Surfaces: Explored and Unexplored Territory
Terms: Win
| Units: 3
| UG Reqs: WAY-FR, WAY-SMA
MATH 87Q:
Mathematics of Knots, Braids, Links, and Tangles
Terms: Win
| Units: 3
| UG Reqs: WAY-FR
MATH 101:
Math Discovery Lab
Terms: Aut
| Units: 3
| UG Reqs: WAY-FR
MATH 104:
Applied Matrix Theory
Terms: Aut, Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 106:
Functions of a Complex Variable
Terms: Spr, Sum
| Units: 3
| UG Reqs: GER:DB-Math
MATH 107:
Graph Theory
Last offered: Spring 2016
| Units: 3
MATH 108:
Introduction to Combinatorics and Its Applications
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 109:
Applied Group Theory
Terms: Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 110:
Applied Number Theory and Field Theory
Terms: Aut
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 113:
Linear Algebra and Matrix Theory
Terms: Aut, Win, Spr, Sum
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 114:
Introduction to Scientific Computing (CME 108)
Terms: Win, Sum
| Units: 3
| UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR
MATH 115:
Functions of a Real Variable
Terms: Aut, Sum
| Units: 3
| UG Reqs: GER:DB-Math
MATH 116:
Complex Analysis
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 118:
Mathematics of Computation
Last offered: Autumn 2013
| Units: 3
| UG Reqs: GER:DB-Math
MATH 120:
Groups and Rings
Terms: Aut, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 121:
Galois Theory
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 122:
Modules and Group Representations
Terms: Spr
| Units: 3
MATH 131P:
Partial Differential Equations
Terms: Aut, Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 136:
Stochastic Processes (STATS 219)
Terms: Aut
| Units: 3
| UG Reqs: GER:DB-Math
MATH 137:
Mathematical Methods of Classical Mechanics
Last offered: Winter 2013
| Units: 3
| UG Reqs: GER:DB-Math
MATH 138:
Celestial Mechanics
Last offered: Autumn 2014
| Units: 3
| UG Reqs: GER:DB-Math
MATH 142:
Hyperbolic Geometry
Last offered: Winter 2016
| Units: 3
MATH 143:
Differential Geometry
Terms: Aut
| Units: 3
| UG Reqs: GER:DB-Math
MATH 145:
Algebraic Geometry
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 146:
Analysis on Manifolds
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 147:
Differential Topology
Last offered: Spring 2016
| Units: 3
| UG Reqs: GER:DB-Math
MATH 148:
Algebraic Topology
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 151:
Introduction to Probability Theory
Last offered: Winter 2015
| Units: 3
| UG Reqs: GER:DB-Math
MATH 152:
Elementary Theory of Numbers
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 154:
Algebraic Number Theory
Terms: Spr
| Units: 3
| UG Reqs: GER:DB-Math
MATH 155:
Analytic Number Theory
Last offered: Spring 2016
| Units: 3
| UG Reqs: GER:DB-Math
MATH 158:
Basic Probability and Stochastic Processes with Engineering Applications (CME 298)
Terms: Spr
| Units: 3
MATH 159:
Discrete Probabilistic Methods
Terms: Aut
| Units: 3
MATH 161:
Set Theory
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math
MATH 162:
Philosophy of Mathematics (PHIL 162, PHIL 262)
Last offered: Autumn 2015
| Units: 4
| UG Reqs: GER:DB-Math
MATH 163:
The Greek Invention of Mathematics (CLASSICS 136)
Last offered: Autumn 2014
| Units: 3-5
| UG Reqs: GER:DB-Hum
MATH 171:
Fundamental Concepts of Analysis
Terms: Aut, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 172:
Lebesgue Integration and Fourier Analysis
Terms: Spr
| Units: 3
| UG Reqs: GER:DB-Math
MATH 173:
Theory of Partial Differential Equations
Last offered: Winter 2016
| Units: 3
MATH 174:
Calculus of Variations
Last offered: Winter 2010
| Units: 3
MATH 175:
Elementary Functional Analysis
Terms: Aut
| Units: 3
| UG Reqs: GER:DB-Math
MATH 177:
Geometric Methods in the Theory of Ordinary Differential Equations
Last offered: Spring 2015
| Units: 3
MATH 180:
Introduction to Financial Mathematics
Last offered: Spring 2015
| Units: 3
| UG Reqs: GER:DB-Math
MATH 193:
Polya Problem Solving Seminar
Terms: Aut
| Units: 1
| Repeatable
5 times
(up to 5 units total)
MATH 197:
Senior Honors Thesis
Terms: Aut, Win, Spr, Sum
| Units: 1-6
| Repeatable
3 times
(up to 9 units total)
Instructors: ;
Boyd, S. (PI);
Bump, D. (PI);
Cohen, R. (PI);
Conrad, B. (PI);
Diaconis, P. (PI);
Eliashberg, Y. (PI);
Soundararajan, K. (PI);
Vakil, R. (PI);
Vasy, A. (PI);
Vondrak, J. (PI);
Yun, Z. (PI)
MATH 198:
Practical Training
Terms: Sum
| Units: 1
| Repeatable
3 times
(up to 3 units total)
MATH 199:
Independent Work
Terms: Aut, Win, Spr, Sum
| Units: 1-3
| Repeatable
3 times
(up to 9 units total)
MATH 205A:
Real Analysis
Terms: Aut
| Units: 3
MATH 205B:
Real Analysis
Terms: Win
| Units: 3
MATH 205C:
Real Analysis
Terms: Spr
| Units: 3
MATH 210A:
Modern Algebra I
Terms: Aut
| Units: 3
MATH 210B:
Modern Algebra II
Terms: Win
| Units: 3
MATH 210C:
Lie Theory
Terms: Spr
| Units: 3
| Repeatable
5 times
(up to 15 units total)
MATH 215A:
Algebraic Topology
Terms: Aut
| Units: 3
MATH 215B:
Differential Topology
Terms: Win
| Units: 3
MATH 215C:
Differential Geometry
Terms: Spr
| Units: 3
MATH 216A:
Introduction to Algebraic Geometry
Last offered: Autumn 2015
| Units: 3
| Repeatable
for credit
MATH 216B:
Introduction to Algebraic Geometry
Last offered: Winter 2016
| Units: 3
| Repeatable
for credit
MATH 216C:
Introduction to Algebraic Geometry
Last offered: Spring 2016
| Units: 3
| Repeatable
for credit
MATH 217C:
Complex Differential Geometry
Last offered: Winter 2015
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 220:
Partial Differential Equations of Applied Mathematics (CME 303)
Terms: Aut
| Units: 3
MATH 221A:
Mathematical Methods of Imaging (CME 321A)
Last offered: Winter 2014
| Units: 3
MATH 221B:
Mathematical Methods of Imaging (CME 321B)
Last offered: Spring 2016
| Units: 3
MATH 226:
Numerical Solution of Partial Differential Equations (CME 306)
Terms: Spr
| Units: 3
MATH 227:
Partial Differential Equations and Diffusion Processes
Last offered: Winter 2015
| Units: 3
MATH 228:
Stochastic Methods in Engineering (CME 308, MS&E 324)
Terms: Spr
| Units: 3
MATH 228A:
Probability, Stochastic Analysis and Applications
Last offered: Spring 2016
| Units: 3
MATH 230A:
Theory of Probability I (STATS 310A)
Terms: Aut
| Units: 2-4
MATH 230B:
Theory of Probability II (STATS 310B)
Terms: Win
| Units: 2-3
MATH 230C:
Theory of Probability III (STATS 310C)
Terms: Spr
| Units: 2-4
MATH 231A:
An Introduction to Random Matrix Theory (STATS 351A)
Last offered: Autumn 2008
| Units: 3
MATH 231C:
Free Probability
| Units: 3
MATH 232:
Topics in Probability: Percolation Theory
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 233A:
Topics in Combinatorics
| Units: 3
| Repeatable
for credit
MATH 233B:
Topics in Combinatorics: Polyhedral Techniques in Optimization
Terms: Win
| Units: 3
| Repeatable
for credit
MATH 233C:
Topics in Combinatorics
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 234:
Large Deviations Theory (STATS 374)
Terms: Spr
| Units: 3
MATH 235A:
Topics in combinatorics
Last offered: Autumn 2015
| Units: 3
| Repeatable
for credit
(up to 99 units total)
MATH 235B:
Modern Markov Chain Theory
Last offered: Winter 2016
| Units: 3
| Repeatable
for credit
(up to 99 units total)
MATH 235C:
Topics in Markov Chains
Last offered: Spring 2016
| Units: 3
| Repeatable
for credit
(up to 99 units total)
MATH 236:
Introduction to Stochastic Differential Equations
Terms: Win
| Units: 3
MATH 237:
Default and Systemic Risk
Last offered: Spring 2015
| Units: 3
MATH 238:
Mathematical Finance (STATS 250)
Terms: Win
| Units: 3
MATH 239:
Computation and Simulation in Finance
Last offered: Spring 2016
| Units: 3
MATH 243:
Functions of Several Complex Variables
Last offered: Winter 2011
| Units: 3
| Repeatable
for credit
MATH 244:
Riemann Surfaces
Last offered: Spring 2009
| Units: 3
| Repeatable
for credit
MATH 245A:
Topics in Algebraic Geometry
| Units: 3
| Repeatable
3 times
(up to 9 units total)
MATH 245B:
Topics in Algebraic Geometry
Terms: Win
| Units: 3
| Repeatable
3 times
(up to 9 units total)
MATH 245C:
Topics in Algebraic Geometry
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 246:
Topics in number theory: L-functions
Last offered: Spring 2016
| Units: 3
| Repeatable
for credit
MATH 248:
Introduction to Ergodic Theory
Last offered: Autumn 2014
| Units: 3
| Repeatable
for credit
MATH 249A:
Topics in number theory
Terms: Aut
| Units: 3
| Repeatable
3 times
(up to 9 units total)
MATH 249B:
Topics in Number Theory
Terms: Win
| Units: 3
| Repeatable
3 times
(up to 9 units total)
MATH 249C:
Topics in Number Theory
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 256A:
Partial Differential Equations
Last offered: Spring 2014
| Units: 3
MATH 256B:
Partial Differential Equations
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 257A:
Symplectic Geometry and Topology
Terms: Aut
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 257B:
Symplectic Geometry and Topology
Last offered: Spring 2016
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 257C:
Symplectic Geometry and Topology
Last offered: Spring 2015
| Units: 3
MATH 258:
Topics in Geometric Analysis
Terms: Win
| Units: 3
| Repeatable
for credit
MATH 262:
Applied Fourier Analysis and Elements of Modern Signal Processing (CME 372)
Last offered: Winter 2016
| Units: 3
MATH 263A:
Algebraic Combinatorics and Symmetric Functions
Terms: Aut
| Units: 3
| Repeatable
for credit
MATH 263B:
Crystal Bases: Representations and Combinatorics
Last offered: Winter 2016
| Units: 3
| Repeatable
for credit
MATH 263C:
Topics in Representation Theory
Last offered: Spring 2015
| Units: 3
| Repeatable
for credit
MATH 269:
Topics in symplectic geometry
Last offered: Winter 2015
| Units: 3
| Repeatable
for credit
MATH 270:
Geometry and Topology of Complex Manifolds
Terms: Win
| Units: 3
| Repeatable
for credit
MATH 271:
The H-Principle
Last offered: Winter 2013
| Units: 3
MATH 272:
Topics in Partial Differential Equations
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 273:
Topics in Mathematical Physics (STATS 359)
Terms: Spr
| Units: 3
MATH 280:
Evolution Equations in Differential Geometry
Last offered: Winter 2014
| Units: 3
| Repeatable
for credit
MATH 282A:
Low Dimensional Topology
Terms: Win
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 282B:
Homotopy Theory
Terms: Spr
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 282C:
Fiber Bundles and Cobordism
Last offered: Spring 2016
| Units: 3
| Repeatable
2 times
(up to 6 units total)
MATH 283:
Topics in Algebraic and Geometric Topology
Terms: Spr
| Units: 3
| Repeatable
for credit
MATH 283A:
Topics in Topology
Terms: Aut
| Units: 3
MATH 284:
Topics in Geometric Topology
Last offered: Spring 2016
| Units: 3
| Repeatable
for credit
MATH 284A:
Geometry and Topology in Dimension 3
Last offered: Winter 2009
| Units: 3
| Repeatable
for credit
MATH 284B:
Geometry and Topology in Dimension 3
Last offered: Spring 2009
| Units: 3
| Repeatable
for credit
MATH 286:
Topics in Differential Geometry
Last offered: Spring 2016
| Units: 3
| Repeatable
for credit
MATH 298:
Graduate Practical Training
Terms: Aut, Win, Spr, Sum
| Units: 1
| Repeatable
3 times
(up to 3 units total)
MATH 301:
Advanced Topics in Convex Optimization (CME 375)
Last offered: Winter 2015
| Units: 3
| Repeatable
3 times
(up to 9 units total)
MATH 305:
Applied mathematics through toys and magic
Last offered: Autumn 2015
| Units: 3
MATH 355:
Graduate Teaching Seminar
Terms: Spr
| Units: 1
MATH 360:
Advanced Reading and Research
Terms: Aut, Win, Spr, Sum
| Units: 1-10
| Repeatable
for credit
Instructors: ;
Bump, D. (PI);
Candes, E. (PI);
Carlsson, G. (PI);
Chatterjee, S. (PI);
Church, T. (PI);
Cohen, R. (PI);
Conrad, B. (PI);
Dembo, A. (PI);
Diaconis, P. (PI);
Eliashberg, Y. (PI);
Fox, J. (PI);
Galatius, S. (PI);
Ionel, E. (PI);
Kerckhoff, S. (PI);
Li, J. (PI);
Luk, J. (PI);
Mazzeo, R. (PI);
Mirzakhani, M. (PI);
Papanicolaou, G. (PI);
Pardon, J. (PI);
Poulson, J. (PI);
Rajaratnam, B. (PI);
Ryzhik, L. (PI);
Schoen, R. (PI);
Soundararajan, K. (PI);
Vakil, R. (PI);
Vasy, A. (PI);
Venkatesh, A. (PI);
Vondrak, J. (PI);
White, B. (PI);
Wilson, J. (PI);
Wright, A. (PI);
Ying, L. (PI)
MATH 382:
Qualifying Examination Seminar
Terms: Win, Sum
| Units: 1-3
| Repeatable
for credit
MATH 391:
Research Seminar in Logic (PHIL 391)
Terms: Aut, Win, Spr
| Units: 1-3
| Repeatable
3 times
(up to 9 units total)
MATH 802:
TGR Dissertation
Terms: Aut, Win, Spr, Sum
| Units: 0
| Repeatable
for credit
Instructors: ;
Bump, D. (PI);
Candes, E. (PI);
Carlsson, G. (PI);
Chatterjee, S. (PI);
Church, T. (PI);
Cohen, R. (PI);
Conrad, B. (PI);
Dembo, A. (PI);
Diaconis, P. (PI);
Eliashberg, Y. (PI);
Fox, J. (PI);
Galatius, S. (PI);
Ganatra, S. (PI);
Ionel, E. (PI);
Kerckhoff, S. (PI);
Li, J. (PI);
Luk, J. (PI);
Mazzeo, R. (PI);
Mirzakhani, M. (PI);
Papanicolaou, G. (PI);
Pardon, J. (PI);
Poulson, J. (PI);
Rajaratnam, B. (PI);
Ryzhik, L. (PI);
Schoen, R. (PI);
Soundararajan, K. (PI);
Vakil, R. (PI);
Vasy, A. (PI);
Venkatesh, A. (PI);
Vondrak, J. (PI);
White, B. (PI);
Ying, L. (PI)